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On the entropy of the geodesic flow in manifolds without conjugate points

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01076325openalex-snapshot
Applications of ergodic theory to the investigation of manifolds of negative curvature
inferredcites →https://doi.org/10.1007/bf01099169openalex-snapshot
Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points
inferredcites →https://doi.org/10.1007/bf01453234openalex-snapshot
An upper estimation for topological entropy of diffeomorphisms
inferredcites →https://doi.org/10.1007/bf02584795openalex-snapshot
An inequality for the entropy of differentiable maps
inferredcites →https://doi.org/10.1016/0001-8708(78)90113-5openalex-snapshot
Entropy of a differentiable map
inferredcites →https://doi.org/10.1017/s0143385700001656openalex-snapshot
Entropy and closed geodesies
inferredcites →https://doi.org/10.1017/s0143385700001747openalex-snapshot
Entropy estimates for geodesic flows
inferredcites →https://doi.org/10.1070/im1971v005n02abeh001050openalex-snapshot
ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS
inferredcites →https://doi.org/10.1070/rm1977v032n04abeh001639openalex-snapshot
CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
inferredcites →https://doi.org/10.1112/jlms/s2-24.2.351openalex-snapshot
Curvature Bounds for the Entropy of the Geodesic Flow on a Surface
inferredcites →https://doi.org/10.1307/mmj/1028998009openalex-snapshot
A theorem of E. Hopf.
inferredcites →https://doi.org/10.2307/1971011openalex-snapshot
Riemannian Manifolds With Geodesic Flow of Anosov Type
inferredcites →https://doi.org/10.2307/1971239openalex-snapshot
Topological Entropy for Geodesic Flows
inferredcites →https://doi.org/10.4310/jdg/1214431801openalex-snapshot
When is a geodesic flow of Anosov type? I
inferredcites →https://doi.org/10.4310/jdg/1214431959openalex-snapshot
When is a geodesic flow of Anosov type? II
inferredcites →https://doi.org/10.4310/jdg/1214501132openalex-snapshot
A note on curvature and fundamental group

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
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Counting closed geodesics on rank-one manifolds without focal points
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Thermostats without conjugate points
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The volume entropy of a surface decreases along the Ricci flow
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Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows
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Convex Hamiltonians without conjugate points
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Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors
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The Regularity of the Linear Drift in Negatively Curved Spaces
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Green Bundles and Related Topics
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A criterion for topological entropy to decrease under normalised Ricci flow
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On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points
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Compact asymptotically harmonic manifolds
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Unique ergodicity of the horocycle flow of a higher genus compact surface with no conjugate points and continuous Green bundles
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New results on noncompact harmonic manifolds
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A curvature characterization of certain locally rank-one symmetric spaces
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